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arXiv · 1001.3795

Non-Boolean probabilities and quantum measurement

Gerd Niestegge
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Abstract

A non-Boolean extension of the classical probability model is proposed. The non-Boolean probabilities reproduce typical quantum phenomena. The proposed model is more general and more abstract, but easier to interpret, than the quantum mechanical Hilbert space formalism and exhibits a particular phenomenon (state-independent conditional probabilities) which may provide new opportunities for an understanding of the quantum measurement process. Examples of the proposed model are provided, using Jordan operator algebras.

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Gerd Niestegge. 2010-01-21. Non-Boolean probabilities and quantum measurement. https://doi.org/10.1088/0305-4470%2F34%2F30%2F313

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